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Find the integral $\int xe^{2x}dx$

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_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

Worked example: exponential solution to differential equation | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=pRuwcphjJeg